Nonlocal fourth-order Kirchhoff systems with variable growth: low and high energy solutions

چکیده مقاله

This paper is concerned with the existence and multiplicity of solutions for a class of nonlocal fourth-order (Formula presented.) -Kirchhoff systems. By means of a variational analysis, we obtain conditions for the existence of infinitely many solutions with high (resp., low) energies. The arguments combine related critical point theory arguments with a careful analysis of the energy levels. © 2015, Universitat de Barcelona.